226162672128 has 320 divisors, whose sum is σ = 696991996800. Its totient is φ = 72320532480.

The previous prime is 226162672117. The next prime is 226162672133. The reversal of 226162672128 is 821276261622.

226162672128 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 626 + 7 + 2 + 12 + 8 = 666.

It is a super-2 number, since 2×226162672128² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65344318 + ... + 65347778.

It is an arithmetic number, because the mean of its divisors is an integer number (2178099990).

Almost surely, 2^226162672128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226162672128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348495998400).

226162672128 is an abundant number, since it is smaller than the sum of its proper divisors (470829324672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226162672128 is a wasteful number, since it uses less digits than its factorization.

226162672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3658 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 226162672128 in words is "two hundred twenty-six billion, one hundred sixty-two million, six hundred seventy-two thousand, one hundred twenty-eight".